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Finding the Fourth Proportional to 470.74, 706 and 196.84

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Solution

The fourth proportional to 470.74, 706 and 196.84 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.74 : 706 = 196.84 : x
  2. Step 2: Convert to fraction form
    470.74/706 = 196.84/x
  3. Step 3: Cross multiply
    470.74x = 706 × 196.84
  4. Step 4: Simplify right side
    470.74x = 138,965.51
  5. Step 5: Solve for x
    x = 138,965.51/470.74
  6. Step 6: Final answer
    x = 295.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.